update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lpxs_lpx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_lpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_lpx.ma
index 7bc58ea4544eb1ed4a05c19d788743dd159f68a5..18c5bb7ee7c1f53e5ca1706aaa03196f71c2baae 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_lpx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_lpx.ma
@@ -12,39 +12,39 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/relocation/lex_tc.ma".
-include "basic_2/rt_computation/lpxs.ma".
+include "static_2/relocation/lex_tc.ma".
 include "basic_2/rt_computation/cpxs_lpx.ma".
+include "basic_2/rt_computation/lpxs.ma".
 
 (* UNBOUND PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
 
 (* Properties with unbound rt-transition for full local environments ********)
 
-lemma lpx_lpxs (h) (G): â\88\80L1,L2. â¦\83G, L1â¦\84 â\8a¢ â¬\88[h] L2 â\86\92 â¦\83G, L1â¦\84 ⊢ ⬈*[h] L2.
+lemma lpx_lpxs (h) (G): â\88\80L1,L2. â\9dªG,L1â\9d« â\8a¢ â¬\88[h] L2 â\86\92 â\9dªG,L1â\9d« ⊢ ⬈*[h] L2.
 /3 width=3 by lpx_cpxs_trans, lex_CTC_inj/ qed.
 
 (* Basic_2A1: was: lpxs_strap2 *)
-lemma lpxs_step_sn (h) (G): â\88\80L1,L. â¦\83G, L1â¦\84 ⊢ ⬈[h] L →
-                            â\88\80L2. â¦\83G, Lâ¦\84 â\8a¢ â¬\88*[h] L2 â\86\92 â¦\83G, L1â¦\84 ⊢ ⬈*[h] L2.
+lemma lpxs_step_sn (h) (G): â\88\80L1,L. â\9dªG,L1â\9d« ⊢ ⬈[h] L →
+                            â\88\80L2. â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] L2 â\86\92 â\9dªG,L1â\9d« ⊢ ⬈*[h] L2.
 /3 width=3 by lpx_cpxs_trans, lex_CTC_step_sn/ qed-.
 
 (* Basic_2A1: was: lpxs_strap1 *)
-lemma lpxs_step_dx (h) (G): â\88\80L1,L. â¦\83G, L1â¦\84 ⊢ ⬈*[h] L →
-                            â\88\80L2. â¦\83G, Lâ¦\84 â\8a¢ â¬\88[h] L2 â\86\92 â¦\83G, L1â¦\84 ⊢ ⬈*[h] L2.
+lemma lpxs_step_dx (h) (G): â\88\80L1,L. â\9dªG,L1â\9d« ⊢ ⬈*[h] L →
+                            â\88\80L2. â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] L2 â\86\92 â\9dªG,L1â\9d« ⊢ ⬈*[h] L2.
 /3 width=3 by lpx_cpxs_trans, lex_CTC_step_dx/ qed-.
 
 (* Eliminators with unbound rt-transition for full local environments *******)
 
 (* Basic_2A1: was: lpxs_ind_dx *)
-lemma lpxs_ind_sn (h) (G) (L2): ∀R:predicate lenv. R L2 →
-                                (â\88\80L1,L. â¦\83G, L1â¦\84 â\8a¢ â¬\88[h] L â\86\92 â¦\83G, Lâ¦\84 â\8a¢ â¬\88*[h] L2 â\86\92 R L â\86\92 R L1) →
-                                â\88\80L1. â¦\83G, L1â¦\84 â\8a¢ â¬\88*[h] L2 â\86\92 R L1.
+lemma lpxs_ind_sn (h) (G) (L2): ∀Q:predicate lenv. Q L2 →
+                                (â\88\80L1,L. â\9dªG,L1â\9d« â\8a¢ â¬\88[h] L â\86\92 â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] L2 â\86\92 Q L â\86\92 Q L1) →
+                                â\88\80L1. â\9dªG,L1â\9d« â\8a¢ â¬\88*[h] L2 â\86\92 Q L1.
 /3 width=7 by lpx_cpxs_trans, cpx_refl, lex_CTC_ind_sn/ qed-.
 
 (* Basic_2A1: was: lpxs_ind *)
-lemma lpxs_ind_dx (h) (G) (L1): ∀R:predicate lenv. R L1 →
-                                (â\88\80L,L2. â¦\83G, L1â¦\84 â\8a¢ â¬\88*[h] L â\86\92 â¦\83G, Lâ¦\84 â\8a¢ â¬\88[h] L2 â\86\92 R L â\86\92 R L2) →
-                                â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â¬\88*[h] L2 â\86\92 R L2.
+lemma lpxs_ind_dx (h) (G) (L1): ∀Q:predicate lenv. Q L1 →
+                                (â\88\80L,L2. â\9dªG,L1â\9d« â\8a¢ â¬\88*[h] L â\86\92 â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] L2 â\86\92 Q L â\86\92 Q L2) →
+                                â\88\80L2. â\9dªG,L1â\9d« â\8a¢ â¬\88*[h] L2 â\86\92 Q L2.
 /3 width=7 by lpx_cpxs_trans, cpx_refl, lex_CTC_ind_dx/ qed-.
 
 (* Properties with context-sensitive extended rt-transition for terms *******)
@@ -65,7 +65,7 @@ qed-.
 (* Advanced properties ******************************************************)
 
 (* Basic_2A1: was: lpxs_pair2 *)
-lemma lpxs_pair_dx (h) (G): â\88\80L1,L2. â¦\83G, L1â¦\84 ⊢ ⬈*[h] L2 →
-                            â\88\80V1,V2. â¦\83G, L2â¦\84 ⊢ V1 ⬈*[h] V2 →
-                            â\88\80I. â¦\83G, L1.â\93\91{I}V1â¦\84 â\8a¢ â¬\88*[h] L2.â\93\91{I}V2.
+lemma lpxs_pair_dx (h) (G): â\88\80L1,L2. â\9dªG,L1â\9d« ⊢ ⬈*[h] L2 →
+                            â\88\80V1,V2. â\9dªG,L2â\9d« ⊢ V1 ⬈*[h] V2 →
+                            â\88\80I. â\9dªG,L1.â\93\91[I]V1â\9d« â\8a¢ â¬\88*[h] L2.â\93\91[I]V2.
 /3 width=3 by lpxs_pair, lpxs_cpxs_trans/ qed.